{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T05:00:06Z","timestamp":1773378006715,"version":"3.50.1"},"reference-count":28,"publisher":"IEEE","license":[{"start":{"date-parts":[[2022,6,26]],"date-time":"2022-06-26T00:00:00Z","timestamp":1656201600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,6,26]],"date-time":"2022-06-26T00:00:00Z","timestamp":1656201600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,6,26]]},"DOI":"10.1109\/isit50566.2022.9834406","type":"proceedings-article","created":{"date-parts":[[2022,8,3]],"date-time":"2022-08-03T15:34:22Z","timestamp":1659540862000},"page":"766-771","source":"Crossref","is-referenced-by-count":2,"title":["Strong Data Processing Inequalities via Sums of Squares"],"prefix":"10.1109","author":[{"given":"Ois\u00edn","family":"Faust","sequence":"first","affiliation":[{"name":"CCIMI University of Cambridge,DAMTP,UK"}]},{"given":"Hamza","family":"Fawzi","sequence":"additional","affiliation":[{"name":"University of Cambridge,DAMTP,UK"}]}],"member":"263","reference":[{"key":"ref10","first-page":"25:1","article-title":"On Geodesically Convex Formulations for the Brascamp-Lieb Constant","volume":"116","author":"sra","year":"2018","journal-title":"Randomization, Approximation, and Combinatorial Optimization. Algorithms and Techniques"},{"key":"ref11","article-title":"Sum-of-Squares proofs of logarithmic Sobolev inequalities on finite Markov chains","author":"faust","year":"2021"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/BF01070233"},{"key":"ref13","article-title":"Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization","author":"parrilo","year":"2000","journal-title":"Ph D Dissertation"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623400366802"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF02592948"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-003-0387-5"},{"key":"ref17","first-page":"15","author":"lasserre","year":"2015","journal-title":"Positive Polynomials and Moment Problems"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s00209-003-0568-1"},{"key":"ref19","first-page":"599","article-title":"Representations of non-negative polynomials having finitely many zeros","volume":"15","author":"marshall","year":"2006","journal-title":"Annales de la Facult&#x00E9; des sciences de Toulouse Math&#x00E9;matiques"},{"key":"ref28","first-page":"301","author":"saloff-coste","year":"1997","journal-title":"Lectures on finite Markov chains"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620288"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1214\/aoap\/1034968224"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620260"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2015.7282881"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6875389"},{"key":"ref8","first-page":"1","article-title":"Strong data processing constant is achieved by binary inputs","author":"ordentlich","year":"2021","journal-title":"IEEE Transactions on Information Theory"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.4171\/MSL\/10"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-7005-6_7"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT45174.2021.9518066"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176995937"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0680-x"},{"key":"ref22","first-page":"137","article-title":"Some bounds for the logarithmic function","volume":"4","author":"tops\u00f8e","year":"2006","journal-title":"Inequality Theory and Applications"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1993.42.42045"},{"key":"ref24","article-title":"Device-independent lower bounds on the conditional von neumann entropy","author":"brown","year":"2021"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-018-9385-0"},{"key":"ref26","volume":"89","author":"ledoux","year":"2001","journal-title":"The Concentration of Measure Phenomenon"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.2307\/2373688"}],"event":{"name":"2022 IEEE International Symposium on Information Theory (ISIT)","location":"Espoo, Finland","start":{"date-parts":[[2022,6,26]]},"end":{"date-parts":[[2022,7,1]]}},"container-title":["2022 IEEE International Symposium on Information Theory (ISIT)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9834325\/9834269\/09834406.pdf?arnumber=9834406","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T20:35:52Z","timestamp":1773347752000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9834406\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,26]]},"references-count":28,"URL":"https:\/\/doi.org\/10.1109\/isit50566.2022.9834406","relation":{},"subject":[],"published":{"date-parts":[[2022,6,26]]}}}